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Course Criteria
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3.00 Credits
Introduction to logic and methods of proof, set operations, equivalence relations, functions, mathematical induction, and cardinality. Other topics related to the study of the structure of mathematical proof may be included.
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3.00 Credits
Logic, combinatorics, functions, graphs, Boolean algebra, logic networks, algebraic structures, finite state machines, and computability. (TCCNS = MATH 2305)
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4.00 Credits
Space geometry and vectors, vector-valued functions, partial differentiation with applications, and multiple integration with applications. Each student must have a graphing calculator. (TCCNS = MATH 2415)
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3.00 Credits
An introduction to differential and integral calculus. Focus will be placed on the conceptual development of limits, rates of change, and techniques for calculating and approximating length, area, and volume. This course is appropriate for those seeking 4-8 math teacher certification.
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3.00 Credits
Problem solving techniques and strategies using patterns, logic, number theory, algebra, geometry, combinatorics, strategy games, and network theory.
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3.00 Credits
This course covers standard concepts from Euclidean geometry, including congruence, similarity, parallel postulates, constructions, transformations, area postulates, and constructions using software such as Geometer's Sketchpad. This course is appropriate for those seeking 4-8 mathematics teacher certification.
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3.00 Credits
Elementary geometry from an advanced point of view. An axiomatic study of Euclidean geometry plus additional topics which may include finite geometries and non-Euclidian geometries. Students will use a geometry software package. This course is appropriate for those seeking 8-12 mathematics teacher certification.
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3.00 Credits
Introduction to algebraic structures, including groups, group isomorphism, homomorphisms, director products, and introduction to rings.
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3.00 Credits
Iteration of functions, quadratic maps on the line and on the plane, orbit diagrams, Julia sets, Mandelbrot sets, iterated function systems.
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3.00 Credits
Introduction to the theory of and applications of ordinary differential equations; solution techniques for linear and separable equations; numerical approximation of solutions; introduction to phase plane analysis and non-linear problems; Laplace transforms.
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